Details

analyze686.0ms

Algorithm: search

sample24.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify31.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	8
1	61	8
2	141	8
3	347	8
4	792	8
5	5002	8

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 12.4b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
0.7b	(- (* (* z 2.0) z) (* y t))
20.7b	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-exp-log` `add-cbrt-cube`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
5×	`add-cube-cbrt`
3×	`pow1` `cbrt-undiv` `flip3--` `times-frac` `div-exp` `prod-exp` `associate-/r*` `flip--` `cbrt-unprod`
2×	`sub-neg` `diff-log` `associate-/r/`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 51

Calls

3 calls:

7.0ms	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
4.0ms	(- (* (* z 2.0) z) (* y t))
9.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series81.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
16.0ms	(- (* (* z 2.0) z) (* y t))
24.0ms	(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify51.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	318	564
1	1519	493
2	5002	493

prune108.0ms

Filtered

42 candidates to 60 candidates (-42.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	52	8	60
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	53	8	61

Merged error: 4.9b

Counts

61 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
0.7b	(- (* 2.0 (pow z 2)) (* t y))
4.7b	(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
18.4b	(/ z (- (* 2.0 (pow z 2)) (* t y)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`add-exp-log` `times-frac` `add-cbrt-cube`
15×	`associate-r`
9×	`pow1`
8×	`add-log-exp`
6×	`prod-exp` `cbrt-unprod`
4×	`flip3--` `associate-/r/` `flip--`
3×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-/r` `associate-/l`
2×	`sub-neg` `diff-log` `div-inv`
1×	`frac-2neg` `associate-r/` `associate-l` `clear-num` `-commutative`

Counts

4 → 88

Calls

4 calls:

2.0ms	(- x (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
4.0ms	(- (* 2.0 (pow z 2)) (* t y))
10.0ms	(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
6.0ms	(/ z (- (* 2.0 (pow z 2)) (* t y)))

series68.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(- x (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
8.0ms	(- (* 2.0 (pow z 2)) (* t y))
24.0ms	(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
12.0ms	(/ z (- (* 2.0 (pow z 2)) (* t y)))

simplify61.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	391	883
1	1978	774
2	5001	773

prune193.0ms

Filtered

69 candidates to 100 candidates (-44.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	92	8	100
Fresh	3	4	7
Picked	1	0	1
Done	0	0	0
Total	96	12	108

Merged error: 4.9b

Counts

108 → 12

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
0.7b	(- (* (* z 2.0) z) (* y t))
5.2b	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
18.1b	(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

40×	`times-frac`
28×	`add-sqr-sqrt` `*-un-lft-identity`
26×	`add-cube-cbrt`
18×	`add-exp-log` `add-cbrt-cube`
16×	`associate-/r*`
8×	`add-log-exp`
7×	`cbrt-undiv` `div-exp`
4×	`pow1` `div-inv` `associate-/l*`
3×	`flip3--` `flip--`
2×	`sub-neg` `frac-2neg` `diff-log` `prod-exp` `clear-num` `cbrt-unprod` `associate-/l/`
1×	`div-sub` `associate-/r/` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 102

Calls

4 calls:

9.0ms	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
4.0ms	(- (* (* z 2.0) z) (* y t))
8.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
7.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

series68.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
7.0ms	(- (* (* z 2.0) z) (* y t))
23.0ms	(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
12.0ms	(/ (- (* (* z 2.0) z) (* y t)) z)

simplify61.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	472	1105
1	2263	993
2	5003	988

prune167.0ms

Filtered

84 candidates to 114 candidates (-35.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	111	3	114
Fresh	5	6	11
Picked	1	0	1
Done	0	0	0
Total	117	9	126

Merged error: 2.0b

Counts

126 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ y (/ (- (* 2.0 z) (/ (* t y) z)) 2.0)))
0.0b	(- (* 2.0 z) (/ (* t y) z))
4.6b	(/ (* t y) z)
5.0b	(/ y (/ (- (* 2.0 z) (/ (* t y) z)) 2.0))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

81×	`times-frac`
57×	`add-sqr-sqrt`
50×	`*-un-lft-identity`
48×	`add-cube-cbrt`
16×	`associate-/r*`
14×	`add-exp-log` `add-cbrt-cube`
8×	`add-log-exp`
6×	`div-inv`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `associate-/l*`
3×	`difference-of-squares`
2×	`sub-neg` `flip3--` `frac-2neg` `diff-log` `clear-num` `flip--`
1×	`prod-exp` `associate-/r/` `cbrt-unprod` `distribute-lft-out--`

Counts

4 → 119

Calls

4 calls:

14.0ms	(- x (/ y (/ (- (* 2.0 z) (/ (* t y) z)) 2.0)))
4.0ms	(- (* 2.0 z) (/ (* t y) z))
4.0ms	(/ (* t y) z)
7.0ms	(/ y (/ (- (* 2.0 z) (/ (* t y) z)) 2.0))

series52.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(- x (/ y (/ (- (* 2.0 z) (/ (* t y) z)) 2.0)))
7.0ms	(- (* 2.0 z) (/ (* t y) z))
4.0ms	(/ (* t y) z)
22.0ms	(/ y (/ (- (* 2.0 z) (/ (* t y) z)) 2.0))

simplify58.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	551	1284
1	2310	1219
2	5001	1218

prune175.0ms

Filtered

99 candidates to 131 candidates (-32.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	126	5	131
Fresh	6	2	8
Picked	0	1	1
Done	0	0	0
Total	132	8	140

Merged error: 0.2b

Counts

140 → 8

regimes305.0ms

Accuracy

0% (1.7b remaining)

Error of 2.2b against oracle of 0.5b and baseline of 2.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	7
1	13	7

end0.0ms

analyze852.0ms

Algorithm: search

sample573.0ms

Algorithm

intervals

Results

380.0ms

8000×

body

valid

Details

analyze686.0ms

sample24.0ms

simplify31.0ms

prune3.0ms

localize10.0ms

rewrite21.0ms

series81.0ms

simplify51.0ms

prune108.0ms

localize12.0ms

rewrite24.0ms

series68.0ms

simplify61.0ms

prune193.0ms

localize11.0ms

rewrite31.0ms

series68.0ms

simplify61.0ms

prune167.0ms

localize10.0ms

rewrite34.0ms

series52.0ms

simplify58.0ms

prune175.0ms

regimes305.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze852.0ms

sample573.0ms

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